Least Common Multiple of 809/60, 977/2745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/60, 977/2745 quickly i.e. 790393/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/60, 977/2745 is 790393/15.

LCM(809/60, 977/2745) = 790393/15

LCM of 809/60, 977/2745

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 809/60,977/2745

Given numbers are 809/60,977/2745

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 809,977

Least Common Multiple of Numerators i.e. LCM of 809,977 is 790393.

GCF of Denominators means GCF of 60,2745 as per the given fractions.

GCF of 60,2745 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,977

LCM of Fractions 809/60,977/2745 is 790393/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 790393

Least Common Multiple of 809,977 with GCF Formula

Least Common Multiple of 809,977 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 809,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,977) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(809,977) x common factors =1 x 1 = 1

LCM(809,977) = ( 809 × 977 ) / 1

LCM(809,977) = 790393 / 1

LCM(809,977) = 790393


Lets's calculate GCF of 60,2745

3 60, 2745
5 20, 915
4, 183

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 790393/15

Therefore the LCM of Fractions 809/60,977/2745 is 790393/15

Greatest Common Factor of 60,2745 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,2745 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 2745

List of positive integer factors of 2745 that divides 2745 without a remainder.

1,3,5,9,15,45,61,183,305,549,915,2745

Greatest Common Factor

We found the factors 60,2745 . The biggest common factor number is the GCF number.
So the greatest common factor 60,2745 is 15.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 809/60, 977/2745

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 809/60, 977/2745?

Answer: LCM of Numerators as per given numbers 809/60, 977/2745 is

LCM of Numerators i.e. for 809,977 is 790393

GCF of denominators i.e. for 60,2745 is 15.

Thus, LCM of Fractions is 790393/15.Finally, LCM of Fractions for 809/60, 977/2745 is 790393/15.